$$( x ^ { 2 } - 2 + \frac { 1 } { x ^ { 2 } } )$$
$\left(x-\frac{1}{x}\right)^{2}$
$$\frac{\left(x^{2}-2\right)x^{2}}{x^{2}}+\frac{1}{x^{2}}$$
$$\frac{\left(x^{2}-2\right)x^{2}+1}{x^{2}}$$
$$\frac{x^{4}-2x^{2}+1}{x^{2}}$$
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$\frac{\left(x^{2}-1\right)^{2}}{x^{2}}$
